Question

Find ‘x’, if 2x-7 × 5x-4 = 1250.

Answer 1

Answer:

$\huge{\underline{\color{pink}{\textsf{\textbf{Answer }}}}}$

Step-by-step explanation:

We have 2x-7 × 5x-4 = 1250

⇒ 2x-7 × 5x-4 = 2 5 × 5 × 5 × 5

⇒ 2x-7 × 5x-4 = 21 × 54

Equating the powers of 2 and 5 from both sides, we have

⇒ x – 7 = 1 and x – 4 = 4

⇒ x = 8 and x = 8

Hence, x = 8 is the required value.